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Equivalence of Modular Inequalities of Hardy Type on Non-negative Respective Non-increasing Functions

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Inequalities and Applications

Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 157))

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Abstract

Some weighted modular integrals inequalities with Volterra type operators are considered. The equivalence of such inequalities on the cones on non-negative respective non-increasing functions is established.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, Karlstad University, SE-65188, Karlstad, Sweden

    Sorina Barza

  2. Department of Mathematics, Luleå University of Technology, SE-97187, Luleå, Sweden

    Lars-Erik Persson

Authors
  1. Sorina Barza
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  2. Lars-Erik Persson
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Editor information

Editors and Affiliations

  1. Institut Mathematik, Universität Basel, Rheinsprung 21, 4051, Basel, Switzerland

    Catherine Bandle

  2. Department Economic Analysis & Information Technology for Business, University of Debrecen, Kassai út.26, 4028, Debrecen, Hungary

    László Losonczi

  3. Department of Analysis Institute Mathematics & Informatics, University of Debrecen, Pf. 12, 4010, Debrecen, Hungary

    Attila Gilányi  & Zsolt Páles  & 

  4. Institut für Analysis, Universität Karlsruhe, Kaiserstrasse 12, 76128, Karlsruhe, Germany

    Michael Plum

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© 2008 Birkhäuser Verlag Basel/Switzerland

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Barza, S., Persson, LE. (2008). Equivalence of Modular Inequalities of Hardy Type on Non-negative Respective Non-increasing Functions. In: Bandle, C., Losonczi, L., Gilányi, A., Páles, Z., Plum, M. (eds) Inequalities and Applications. International Series of Numerical Mathematics, vol 157. Birkhäuser, Basel. https://doi.org/10.1007/978-3-7643-8773-0_6

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